Abstract: This communication presents a new method to overcome some limitations in the simulation of the propagation of waves originating from a point source through a very long path in a turbulent medium. Existing propagation simulation algorithms suffer from either windowing or lack of resolution when applied to long paths. If Cartesian coordinates are used, the limited size of the numerical mesh originates undesired windowing errors in the long run. Casting the classical split-step Fourier algorithm in a spherically diverging coordinate system can solve this problem. In this way an angular mesh that adapts the source and the propagation algorithm to the geometry of the problem is used. But in long path propagation, this spherical divergent mesh causes a loss of resolution that can become a serious problem in the evaluation of the field statistical moments. !14
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